{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 3. Linear Models for Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from scipy.stats import multivariate_normal\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "from prml.preprocess import GaussianFeature, PolynomialFeature, SigmoidalFeature\n",
    "from prml.linear import (\n",
    "    BayesianRegression,\n",
    "    EmpiricalBayesRegression,\n",
    "    LinearRegression,\n",
    "    RidgeRegression\n",
    ")\n",
    "\n",
    "np.random.seed(1234)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def create_toy_data(func, sample_size, std, domain=[0, 1]):\n",
    "    x = np.linspace(domain[0], domain[1], sample_size)\n",
    "    np.random.shuffle(x)\n",
    "    t = func(x) + np.random.normal(scale=std, size=x.shape)\n",
    "    return x, t"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3.1 Linear Basis Function Models"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x360 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(-1, 1, 100)\n",
    "X_polynomial = PolynomialFeature(11).transform(x[:, None])\n",
    "X_gaussian = GaussianFeature(np.linspace(-1, 1, 11), 0.1).transform(x)\n",
    "X_sigmoidal = SigmoidalFeature(np.linspace(-1, 1, 11), 10).transform(x)\n",
    "\n",
    "plt.figure(figsize=(20, 5))\n",
    "for i, X in enumerate([X_polynomial, X_gaussian, X_sigmoidal]):\n",
    "    plt.subplot(1, 3, i + 1)\n",
    "    for j in range(12):\n",
    "        plt.plot(x, X[:, j])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.1.1 Maximum likelihood and least squares"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def sinusoidal(x):\n",
    "    return np.sin(2 * np.pi * x)\n",
    "\n",
    "x_train, y_train = create_toy_data(sinusoidal, 10, 0.25)\n",
    "x_test = np.linspace(0, 1, 100)\n",
    "y_test = sinusoidal(x_test)\n",
    "\n",
    "# Pick one of the three features below\n",
    "# feature = PolynomialFeature(8)\n",
    "feature = GaussianFeature(np.linspace(0, 1, 8), 0.1)\n",
    "# feature = SigmoidalFeature(np.linspace(0, 1, 8), 10)\n",
    "\n",
    "X_train = feature.transform(x_train)\n",
    "X_test = feature.transform(x_test)\n",
    "model = LinearRegression()\n",
    "model.fit(X_train, y_train)\n",
    "y, y_std = model.predict(X_test, return_std=True)\n",
    "\n",
    "plt.scatter(x_train, y_train, facecolor=\"none\", edgecolor=\"b\", s=50, label=\"training data\")\n",
    "plt.plot(x_test, y_test, label=\"$\\sin(2\\pi x)$\")\n",
    "plt.plot(x_test, y, label=\"prediction\")\n",
    "plt.fill_between(\n",
    "    x_test, y - y_std, y + y_std,\n",
    "    color=\"orange\", alpha=0.5, label=\"std.\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.1.4 Regularized least squares"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "model = RidgeRegression(alpha=1e-3)\n",
    "model.fit(X_train, y_train)\n",
    "y = model.predict(X_test)\n",
    "\n",
    "plt.scatter(x_train, y_train, facecolor=\"none\", edgecolor=\"b\", s=50, label=\"training data\")\n",
    "plt.plot(x_test, y_test, label=\"$\\sin(2\\pi x)$\")\n",
    "plt.plot(x_test, y, label=\"prediction\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3.2 The Bias-Variance Decomposition"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1440x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x360 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# feature = PolynomialFeature(24)\n",
    "feature = GaussianFeature(np.linspace(0, 1, 24), 0.1)\n",
    "# feature = SigmoidalFeature(np.linspace(0, 1, 24), 10)\n",
    "\n",
    "for a in [1e2, 1., 1e-9]:\n",
    "    y_list = []\n",
    "    plt.figure(figsize=(20, 5))\n",
    "    plt.subplot(1, 2, 1)\n",
    "    for i in range(100):\n",
    "        x_train, y_train = create_toy_data(sinusoidal, 25, 0.25)\n",
    "        X_train = feature.transform(x_train)\n",
    "        X_test = feature.transform(x_test)\n",
    "        model = BayesianRegression(alpha=a, beta=1.)\n",
    "        model.fit(X_train, y_train)\n",
    "        y = model.predict(X_test)\n",
    "        y_list.append(y)\n",
    "        if i < 20:\n",
    "            plt.plot(x_test, y, c=\"orange\")\n",
    "    plt.ylim(-1.5, 1.5)\n",
    "    \n",
    "    plt.subplot(1, 2, 2)\n",
    "    plt.plot(x_test, y_test)\n",
    "    plt.plot(x_test, np.asarray(y_list).mean(axis=0))\n",
    "    plt.ylim(-1.5, 1.5)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3.3 Bayesian Linear Regression"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.3.1 Parameter distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def linear(x):\n",
    "    return -0.3 + 0.5 * x\n",
    "\n",
    "\n",
    "x_train, y_train = create_toy_data(linear, 20, 0.1, [-1, 1])\n",
    "x = np.linspace(-1, 1, 100)\n",
    "w0, w1 = np.meshgrid(\n",
    "    np.linspace(-1, 1, 100),\n",
    "    np.linspace(-1, 1, 100))\n",
    "w = np.array([w0, w1]).transpose(1, 2, 0)\n",
    "\n",
    "feature = PolynomialFeature(degree=1)\n",
    "X_train = feature.transform(x_train)\n",
    "X = feature.transform(x)\n",
    "model = BayesianRegression(alpha=1., beta=100.)\n",
    "\n",
    "for begin, end in [[0, 0], [0, 1], [1, 2], [2, 3], [3, 20]]:\n",
    "    model.fit(X_train[begin: end], y_train[begin: end])\n",
    "    plt.subplot(1, 2, 1)\n",
    "    plt.scatter(-0.3, 0.5, s=200, marker=\"x\")\n",
    "    plt.contour(w0, w1, multivariate_normal.pdf(w, mean=model.w_mean, cov=model.w_cov))\n",
    "    plt.gca().set_aspect('equal')\n",
    "    plt.xlabel(\"$w_0$\")\n",
    "    plt.ylabel(\"$w_1$\")\n",
    "    plt.title(\"prior/posterior\")\n",
    "\n",
    "    plt.subplot(1, 2, 2)\n",
    "    plt.scatter(x_train[:end], y_train[:end], s=100, facecolor=\"none\", edgecolor=\"steelblue\", lw=1)\n",
    "    plt.plot(x, model.predict(X, sample_size=6), c=\"orange\")\n",
    "    plt.xlim(-1, 1)\n",
    "    plt.ylim(-1, 1)\n",
    "    plt.gca().set_aspect('equal', adjustable='box')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3.3.2 Predictive distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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KJ6pTea4umQGfldzoET43u40P5nUxdzJvvkKoPsxbHoP9L8PF12MRgtmJw8xOHOYzpW30ey282hzP88eTebQqjQcrMiiJH+Ifizu4qfAEMXbtd5gUnBnQ/jrk3DipK8OIwD8ClfdA976xsNDQJWydF0Ko3V3AD21b4cSbkHcrpF4Klgu45ba+oo6K3NmTHoYcqrDTJ4ErgBQhRCPwA8AOIKW8F1iPCjmtRoWdfjoU80YC/gBsbkrgd0cz2N0Ri9Ma4IN5XdxW1MGS1IGpW4HHJkHZcjj0Ot1VhzjoS6G9bxh/IEC0y05RehxXZ3u5Pr+bHo+Vv9cn8ceaVL6/O5+fH8jm5sJOPlPaRl6MZ4oMniZYrOoG0/Yy5H3UaGvMi28IKn8DfUfVKtoMW1eLVUUl+Yag9kEVKpp/q8pjOJcbu5TQvAGOP6nEwOqcdJOFNHFY25KyTLn7qX822oxJwRsQ/KU2mfuOZHKs30VOtIfPlLRx84wTIT0OOh/8fj9DLz2K3TPIc4mr8JxRUtflsLJ6TjYpsSrcTUrY1xnNI5XpvFCfiF8Kbszv5ItzWiiOHzHivxCZBLzg6YDFvwj+6CES8fbD0V+qDG93rjnEYDy8fTDaqUQi64Mqx2S8n6eUMNwErS+rbOSovHN3iPtHEIv/a4+UcsmFmKgFYYrxBeCZumR+fTCLhkEX85MGWTe7hWtyuw131r5Z2caJxgau63mdvsQCrJdch8Nmpb13iMON3ZzoG8Fpt3LdojxiXKf/grYN2XngaAaPVaUy4rdwbW43X1/QRFGcFoaQMFQPuR+F7GuNtsRc+Aah/GfqzN6dbbQ1EyMleHvVAwGJ81X2s8UxVgJ9VNUoGqgBYVOlKc7nmClIQTBdlFGkIiVsakrgp/tyqO13MzdxkB8uqWR1Vq8pFjS9Q6NUt/ZidcQzMuMiEmt3Q3cDZBWRlxJLTnIMWw8309Q1yKGGLi4pPj1LMj3Ky52LG/hCWQsPVaTzYEU6LzUm8rGiDr46t5n0KF2sLSicaerIIWP1pCQkhSV+D1T8Rq2m3TlGW3NuCKGS4RwJIP3QVwXd+zmtRIYtViW/GXBj0AGEU8Dhbje3v1zCum3FCAH3Xl7F89eUsybbHGIAUNXaC0BhWhzR8y+FuBTYvwVG1QrfIgSLZ6iercfa+/H6x3ciJ7l8fH1BE6/e8DafKG7nz7UprHp+Hr86mMWIzyT/2XDE6lIhhx26NDag6vhU3w99FeAKg53BeAgruFKVAzw6Xx0NReeDM8mwYy8tCJNI76iVO3fmc/2Lczja4+auJcfZcN1hrsntMY0QnKRrQN3481JilDPsoqvBMwQH3+3glRDlJD7Kgc8foH/4/ZPVUlw+/mNJPVuuP8Ta7F5+eTCbK1+Yx8bGBF2N4UJxpkLT33RpbBmAY49B1251EzXbH1MYowVhEpAS/nYsibV/n8eTNal8qqSNrR86yCdntWO3mPtu+M7fVmI6FC+B44eh7fg771vGLjjX/0VejIe7L6vhiTVHibL5WbetmM+8WkzTYGh6wE4rbNGqmXrXNK8L2fwitG0x7FglktGCEGIaBx188pVZfPXNIrKjPTz3gXJ+cFGDYZFD50q8W92gm7oG331x9iUqHHXvJvCOMjDipWfQg9UiiHWdXxmASzP6eeHacr67uJ632mK5+oW5PFyRRsDc+mg+HEmqdk7A3L9Pk0bXATj+x7Gdgb59hRr9HQ0RUsLjVal84IW57D0Rw38uqeOvVx1hbtKQ0aadE8WZ8QDUtPbROzR2HGS1qYS14X7koW3srzuBBPJTYnHYzj/px26RfK60jY0fPMTilAF+sCefj24q5Vjf5MdXRwz2OBhphd5DRlsy9Qw1Q9XdKulrMuoSabQghIKWITuffGUWd+4qYGHyABuuO8QnZnVgDaPvblKMi7zkGLz+ABsPNFDR3IPXH0AmZzKUNx9x7CDDjcewWS3MyU0Maq7cmFEeWV3J/yyvparXzXUvzuHRqlTtWzhXbHFQ/5fpVRr7ZK6BsINtivsPTCN02GmQbGhI5Fs7CvAGBD9aWsc/zuwI22PNS0sz8JY309I9xM7qdnZWt2MRAhHI4npLNcsH3qZ/wa0kRAe/ohcCbirs5NL0Pr7xViHf21XA5sYEfn5JHWnuae40nQhHIgzVQd8RiC8z2prJRwag5veqtWVU7sTXay6YMFrDmoshn4Xv7Mjnjtdmkh/j4YVrDvPx4vAVAwC71cKaudlcVppBWrwbAQSkxO500FJ0GdGBYTKb9oV0zowoLw+vruSHFx1nR3ss1704h1ebddnz90UIFave8NfpsUto2agc6eGSaxDG6B3CBVDV6+ILr82kps/FF8pa+Nq8JhzWyPjDtAhBYVochWlxBKRESonVMrZuCLRDzX7ILobU0P1xWgT8U0k7y9P7+NL2Iv5pawl3lLXw9flNpo/KMgxHMvRXqUfcLKOtmTz6q+H4U6qfcTivtsIEvUM4T545lswNG8roGbXx2JoKvrWwMWLE4EwsQrwrBgBzLoPoeNi7EXyhP9aZlTDCsx84wm1F7dxbnsmtm0toHdLOw3ERAqzRkd1m09sHlb8Fe4Iq7aCZdLQgnCMev+A7O/P52pszmJc8yAvXHGZFRr/RZk0tNrtKWBvshcOvT8oUbluAn1x8nF9fWsORniiu3zCHN9t0QbdxcaZCz2EYPGa0JaFHBqDmQdXY3pFgtDXTBi0I50DbkJ1bN5fyZHUad5S18MSaiulbmyclB4oWqqOjjsZJm+aGgi6e/UA5cQ4fH3+5hN8dSY/YhfAFIwRY3apfcKTRthW69oRvWYowRQvCBOzpiOH6DWVU9Lq557Jqvr2w0fCqpIYzyUdHJymOH+HZD5RzVU43P96Xx1ffmKHrIZ2JKx26D8BABO0Shpqg7nHlRNZ+gyllut/a3pena1K4dUsJUbYAz1x9hGvzuo02yRycenR06LVJnSrWHuCey2r4xoJGnj2ezMc2z9Z+hVMRAiyuyPEl+Eeh6l71f5qChjCa09GCMA7+APzffTl8c0chl6T189w15ZQkDBttlrlIyYGiRVB7ANrrJ3UqIeBf5rRw/8oqavpc3PBSGftPRE/qnGGFK12VUI4EX0Lj32CoQVUB1Uw5WhDOYMBr4Z9fm8n9RzL5ZHEbD11Rafo6RIYxZwXEJLxT62iyuTqnh79efQSnJcAtW0p5sT64jOmIQQiwRkF9mOcl9B6Fpr/rfAMDCYkgCCGuEUJUCCGqhRDfHuf9TwkhOoQQ+8cenwvFvKGmdcjORzfN5pXmBO5acpy7ltZrf8H7YbPDRR+Aof7TymRPJiUJw/ztA0eYkzjEF18v4r7yjLC+B4YMZxr0HlSdtsIR3yBU36vyKy6kEb0mJAR9uxNCWIG7gWuBMuA2IcR4+fR/lFIuHHs8EOy8oeZoj5t/2FhG/YCT36+q5JOz2o02KTxIzoLixVB3ENrqpmZKl48n1hzlurxufrI/l3/flY9v/H4904eTeQnhWONISlXB1NsHjnijrZnWhGL9uwyollLWSilHgaeAG0Mw7pSxvTWWj24qxS/h6auOcEVWn9EmhRdll6oy2Xs2vdNhbbJx2SS/WVHDF8uaebI6jX/eVsyQb5pv55yp0FsO/ZVGW3J+dB9QYab6qMhwQvEXlA00nPK8cey1M7lZCPG2EOLPQoizVqgSQqwTQuwWQuzu6Jn80tHP1iXxqa2zyIwa5ZmrjzAnUTuPzxurDZZ8ADyDcOCVKZvWIuCbC5v40dI6XmmJ57YtJXSOTOPjBiHAHqtW2zJMtkyjvVDzgDry0v0NDGeqfgLPAwVSyvnAJuDhs10opbxfSrlESrkkNSFqUo36/dF0vvJGEYtTBvjTVUfJjp58x2jEkpgBpRdDw1FoqprSqT9e3MG9l1dztCeKmzfOpn5gGocrOpJV/Z+u/UZbMjFSQt1j4B8Buy5pbQZCIQhNwKkr/pyx195BStkppfSMPX0AuCgE814wUsJP9+fwn3vzuCa3i4dX60iikFCyDBLSYN9mGBmc+PoQcnVOD0+sOUrPqI2bN5ZypNs9pfObBiGUKBx/0vy9lzt3wokd4NbZyGYhFIKwCygWQhQKIRzArcBzp14ghMg85ekNwJEQzHtB+APwrR0F3Fueye0z27l7RQ2uCC1ON+VYrLDkGpW9vG/zlDs3L0od5E9XHcEq4JbNpezumKarTkc8eNqh4w2jLTk7ni6ofQhcGTob2UQELQhSSh/wJeAl1I3+aSnlYSHEXUKIG8Yu+7IQ4rAQ4gDwZeBTwc57IXj8gi9tL+Lp2lS+PLeJHy89HlZdzcKCuGRV2qKlFo4fnvLpi+NH+PPVR0hxefn4y7N4pXmaRq0406H+afCZsIWrDCgxkAGwTe6xsOb8CMntUEq5Xko5S0pZJKX88dhr35dSPjf29XeklHOklAuklKullEdDMe/5MOSz8LlXi3mxIYnvLq7nX+c364XJZDFzEaTmwttbYbBnyqfPiR7l6auOMjNuhM+/OpMXpmMCmy1KiUHrZqMteS/t21RmtStz4ms1U8q0WB/3jVr5xMuz2N4Wx88uPsbnStuMNimyEULVOhIW2LXBkIiXFJePJ9ZWsChlkP+zvYina1Km3AbDcWeqSqgjJsqpGW6FY48rv4FekZmOiBeErhEbt28p4e2uaH67ooaPFZ0w2qTpQVQcLFgNXS1QudsQE+Icfh5eXcmK9D6+uaOQhyrSDLHDMCwOEFaoe9IcyWoBL1T/TvmarC6jrdGMQ0QLQvuwjVu3lFDZ6+b+y6u5TlcrnVpySyF7FpS/Cd3G7MqibAEeWFXFB3K6+eGefP73cIYhdhiGK1P1Feg9ZLQl0PwiDFQr/4bGlESsILQM2bll82waBpw8dEUlq7N7jTZp+iEELFoLzijY9eKk9k54P5xWyd2XVXNjfic/O5DLL9/OMsWCeUo4GYZa+wfweya8fNLor4GGv+oeByYnIgWhcdDBxzaV0jFs59E1ldOv1aWZcLhUFvNANxx81TAzbBb4n+W1fGRGB786lM3PDuRMH1FwxIOnE1peMmZ+3xBU/S/Y48Gie1mYmYgThPoBJ7dsLqVn1MZjaypYkjpgtEmatDwovgiOHYRm46pxWi3ws4vruH1mO/eUZ/KjvbnTRxTcWWO9Bpqndl4p4dijMNoNjmkY7RVmRJQg1PUrMRj0WnlybQULU6Y2W1bzPpRdCvFpqu3msHEibRHw46XH+dSsNn5fkcEP9+RND1GwOJQjt/q+qc1gbtsKHdt14bowIWIEobZPiYHHL3hi7VHmJpkwIWc6Y7XB0mvA74M9Lxka9SIE/OCiej5b0sofKtP5we5pIgrONBisg8bnp2a+gVo49shYiGnE3Goimoj4KdX2Obl1Sym+gODJtRWU6Yql5iQuGeatUi03q/YYaooQ8N3FDayb3cIjVel8d1c+gekgCu5clZvQN8kFCL19UPEbsMfp3shhRNgLQk2fi1u3lOIPCJ5YW6F7H5udwnmQNRMOb4euVkNNEQK+s7CRO8paeLw6je9NB1Gw2NRZfvW9qkvZZHAy38Dbr/0GYUZYC0JNn4vbtpQQkIIn1x7VYhAOCAGLrwJXNOxaD14DQyHHzPnWgmkmCo4E5eSteQgCIa7yKwPqmKjnbV3FNAwJW0Go7XNy25YStTNYc5RZCVPTqUsTAhwuWHYtDPXB/pcNz6I9UxS+v3saiII7V5WfPv5U6L7/Uqpcg7atEJWv8w3CkLBsL3Wsz8ltY8dET67VYhCWJGfD7OVQ/oYqhFcw11BzTooCwL3lmQgkdy2pj9x7mhAQnQ8tG8CZBFnXBj9myybln4jK107kMCXsBKGuX4mBd8yBrMUgjClZCh0NapeQmAHxxhagOykKUsJ9RzKxjkUjRa4oWCEqD+qeAEcSpFx8YeNIqZLe6h6HqFzlp9CEJWEl4/UDSgw82oEcGQgLLL0W7E7Y+QL4jG9hKgR8e2EjnytVIal3RXrymsWuktYq74amF86/Mq1/FGofVKISlavyHTRhS9gIQsOAg9s2lzDss/D4mgpKtRhEBq5oJQr9XbBvi+H+BFCicOeiBj5d0spDFRn8eF+Ei4LVrW7mx5+Cil+D99X3chAAACAASURBVBwTB0e74ch/Q/trEF2gxSACCIu9XdOgg9u2lNLvtfKEzjOIPNLyYPYlcOQtU/gTQInC9xc3EJCCB45mYLNIvrWgMXKPjyx2iJ4BPQfh4Pch7xZImDd+RzNPJ7RugdZNgNAO5AjC9ILQMmTnti0l9I5aeXxNhc5AjlRKL4bOZuVPSEhTD4MRAv7jonr8UnBveSY2Ifn6/KbIvfcJoXYKoz1Qda/yMaRcDPFzwT+i8haGm+HEW+paV4YuVhdhhEQQhBDXAL8CrMADUsqfnvG+E3gEuAjoBG6RUtZNNK5XCm7fUkrXiJ1H11QwP1mLQcRy0p+w5XHY8XdYfbsKTzXaLAF3LTmOLyD47eEsrELytflTXCBuqnEkqEfAB527oeMNQCqBEGM+B+04jkiC9iEIIazA3cC1QBlwmxCi7IzLPgt0SylnAr8E/utcxj7W56Z92M7DqytZpAvVRT7OKLj4gzDUD7uNrXd0KhYB/3dZHR8dK53920PTpBewxabacEbnKx9BVC64M7QYRDChcCovA6qllLVSylHgKeDGM665EXh47Os/A2uFmHjj7Q0IHrqikot0CevpQ3IWzF8JrbVQuctoa97BIuCny+q4qeAE//12DveVT7POa5qwoLw7OqjPh0Lqs4GGU543AmcGNL9zjZTSJ4ToBZKB9zQ4FkKsA9YBZGSksCxNi8G0Y8ZC6GyBw29AQjqk5xttEaD6Kfz8kmN4peAn+3OxWiSfKzWmNagmcpFI+oZG8foDOG1WYtx2BBM7rip63Hz81ZKg5jbd3k9KeT9wP8CSskxznBloppaT9Y76OlV+wprbITrBaKsAJQq/XF6LLyD40d487ELyTyXtRpuliQD8UlLZ3ENFcw/9w+/2rEiOdVGalUBheuxZhaGq18XtW0qwW84zj+QMQnFk1ATknvI8Z+y1ca8RQtiAeJRzWaMZH5sdLvmQ+vrN5w3rxzweNgv8ekUtV+V084M9+TxWlWq0SZowxxcI8MqhJnbXdNA/7MXtsJEc68Jhs9DZP8L2ilbeqmxH8t41siryWYpdePnT0q1B2RGKHcIuoFgIUYi68d8K3H7GNc8B/wS8CXwEeFlKk3gMNeYlJgGWXQfb/wZ7NqqvTRLzabdI7l5Rwxdem8l3dxVgE5JbZ77nBFSjOSd213TQ0j2E22Fj2cxUcpJjsAiBLxDgWFs/u2vaqW7tJT7KQVlOIniGobedrtZuqqqHeYpHKRLNiJ3B7RCCFoQxn8CXgJdQYacPSikPCyHuAnZLKZ8Dfg88KoSoBrpQoqHRTEx6AcxZAYdfh8pUKFlmtEXv4LBK/vfyatZtm8l3dhZgtUg+OkNvfDXnx/Coj5rWPoSANXOzSYp5t6GQzWKhOD2WmJFOGiuriDl4AHm4HzHYC0ASsFAmEZOShEheDNFxwN8u2JaQ+BCklOuB9We89v1Tvh4BPhqKuTTTkFlLoLdDNdWJTYasIqMtegenVXLfymo+/2ox33yrEKuAmwq1KGjOnbqOfgJSkpMco8QgEIDuVlX48UQjdLWQ6fOSCQxZnIwkZeLJWsgPqpdywF/IPWubyDhZvcEfXLFP0zmVNZr3IARcdDUM9sCuF2HVLZBgnnN7l1Vy/8pqPvtqMf/2ViFWIbmxoMtoszRhwuCIjxj/EKUjJ+CNXUoEThZ6jEuBvDJIzmJPr4PyLh8FuXl85+1l9PtV9YbZISzlowVBEx5YbXDJDfDKk/Dms7D6NlUYzyS4bQF+v6qKT28t5mtvzkAAN2hR0JyNQAA6m6ClhrkN1Szx9EM3EB0PuSWQmqfqejnd73xkoL+ZHl+Ab+xbwpDfyuNrQ1/KRwuC5nQCo6qWjTPVNA7cd3DHwPIbYNvT8NbzcPlHlFCYBLctwINXVPGpMVGwCMn1+d1Gm6UxC34ftNVBUxW0HlPtYy1WSMhipy2Xnpgsrrx0LpZx/u48Xj+H2yUPdlyJz2LnsTWVzJuEum7m+WvSGI9/BIabIKYIBmrBlQ4286zCAUhMhyXXwo7n1fHRxdebSriibAEeWlXFp7fO4itvFAE1WhSmM34ftNZBUwW0HAO/V9XoyiyCzBmQno/DaqdpVx0DI172HzvBohkpp+UbBKRk/eFefte2lhHp4snVlSxInpxSPloQNArfIHjaYeYdkLpc9ds99giMdoE7x1Q3XbJnwryVcHAbHHpNfW0iou0BHrqikk9pUZieyIByCNcfheZq5Q9wuCG3FLKLITVH7QzGsADLZqbxyuFmDjd20943zMyMeGJcdnoGPeyoH+X/1a9iKODigcsOszBl8nJytCBowNuvmp2UfA2SFqrXUi6BuNmqk9ZQI7iML0d9GjMXw2AvVO1R564zFhht0WmcFAW9U5hG9HVCfbkSgpEBsDkga6YSgtRcsJw9Dzg7KZpVZZm8UdFKR98IHX0qWqjHF8WDHVcyLJ3ct+Iwl+dOboKmFoTpjpTgOQGzvw6J809/zxEPuTdB+U/UdWbaJQgB86+AoT7Y/wq4YkwVjgoQc4YoBGStdjRHGt5RaKyA44ehq0X9XqYXQN4qdSR0Hj6u3OQYbrp4BnXt/TR2DtA67OSR4ysZFQ6eWFvJ4kncGZxEC8J0Z7QbYmeo7ljjEVeiOmJ5e8CROLW2TYTForKXX/uLqnl02c2Qkm20VacRYw/whysq+fSrxXz1zRkEJHy4UItC2NPdCscOQkOF8gvEJqmjy9zSoKLf7FYLxZnxuGJT+f6WEkakjSfWVrJginrBaEGY7vj6IOczZ1/9CwE5N0Dlb80nCKC25Zd+GF79owpHXfkxiE8x2qrTiLYH+MMVVXz2VRV95JeCm3VGc/jh80LDUTj2NvS0q9V/Tolq+ZqUGbId9PF+J7dvKaHfa+WxNZPnQB4PLQjTGW8/OFMg/iy7g5MkLlRi4Bs0X9QRqFjty26CrU/B9r/CFbdCVJzRVp1GlC3Ag6uq+Py2mfzbW4V4A0LXPgoXBnqUCNQdUqGiccmwYDXkzQa7c+LPnwfH+pzctqWUEb+FJyYhz2AiQlHtVBOujHZCzodPi3gYF4sNsm9QvgazEhUHK25SYX6v/QWGzddHw20L8MDKKlZm9vLtnYU8UmkyR73mXaSE9np441nY+BBU74O0fFj5UVj7CShaGHIxqO51ccuWUkYDgifXHjWkf7wWhOmKfwSsUZC89NyuT7kErC7weybXrmCIT4EV/wCeQbVT8IQupT9UuGyqzMWV2d18f3c+DxxJN9okzan4fWonsOUxeP0v0N0CpRfDNZ9V7V1TJicEu7zbzS2bSwlIwVNrj4a0HMX5oAVhujLSBtkfBOs5rnJsbsi6Bjwm7xCWlAnLb1Tb/O1/VVt8k+G0Su65vIYP5nXxo315/PpgplnaR09fPMNwdAds+D3s3QQCWHw1XPM5KLtUZclPEvtPRHPr5lIcVsnTVx5hVkJwBeqCQfsQpiMBPwgLpF1+fp9LXAwNz06OTaEkNVc113nzOdj+jNo1hHh7Hyx2i+RXl9bgtAT4n4M5DPqsfHtho6kie6cFg71QtReOH1K7g/QCKL5I/Q5NwQ9jZ3sMn9k6iySXl8fXVJAbMzrpc74fWhCmI6NdylFsP0/Ha1Q2OGLHjptck2NbqMgoVFv8HS+YVhRsFvjv5ceItvu570gmA14r/7n0OBYtCpNPTwdU7oKmSkCocNHii6Y0Qu2VpnjueH0mOdEeHl9TQUaU8V0BtSBMR/yDkHrp+X9OWCD5Emh7Gdzmivcfl6yZqtbRjr/D639VouAwl5BZBNy1pJ5oe4B7yzMZ9Fn5+SXHsFv0GVLIkVJVGK3YpYrM2Rwq471oEUTFTqkpzx9P4mtvFFKaMMzDqytJdvmmdP6zoQVhuiEDgAViSy7s84kLoGVjSE2aVLKK3hWF7X9VkUgmEwUh4NsLG4m1+/n5gRz6Rq3cfVkNbltw7RA1Y0ipqotW7FTZxE43lK2AGfMN+V14ojqVO3fmszStnwdWVhPn8E+5DWdDC8J0Y7QL4ueA/QKdZDFFKkw14FPhqOFAVhFccr06Ptr2tBKFSXQSXij/MqeFRKePO3fm84lXZvH7VVXEm+hmEXbIgCo1XbFLddxzx6r8gfw5YLNPvTkSfns4k1+8ncPqrB7uuawal81cO8GgooyEEElCiE1CiKqxf8dNZRVC+IUQ+8cezwUzpyZIfIOQuuLCP291Qvx8VfIinMgsUhnNg31KFMZ60pqN22d2cPdlNbzdGc0tm0tpHZr6G1fYEwjA8XLY9AjsXK+cxRddDR/4tMofMEAM/AH4we48fvF2Dv9QcIL7V5pPDCD4sNNvA1uklMXAlrHn4zEspVw49rghyDk1F4ocO4KInx3cOMnLwD/1STNBk5YHl98MoyOq1EWfORPtrsvr5sErqmgYcHLzxtlU9ZrriMu0+H2qvtDGh2DPS2C1qlpXV31S7QomSsCcJDx+wZffKOKRqnQ+X9rKL5ab10cUrCDcCDw89vXDwIeDHE8zmYz2QNwsVcU0GOLH/A/hGDyflKnqHQG8+rSqW29CLsvo449XHsUTsHDzxtnsajffEZdp8PugZp8Sgn2blY9g+Q2w5uOq1pAwLt2qd9TKJ1+ZxQv1Sfz7ogbuXNxg6iiyYL9T6VLKlrGvW4GzpV26hBC7hRBvCSHeVzSEEOvGrt3d0ROGq1Az4+uH1MuCH8eRCNF5arxwJD5F1TtyRavoo4ajRls0LnOThnjm6nJSXF7+8eUS1tebsLigkfi8qh/Ght/Dga3vli+54jZ1RGhwUkfDgIObN85m74kY/t/yGtbNbjXUnnNhQq+gEGIzkDHOW3ee+kRKKYUQZ1sy5kspm4QQM4CXhRAHpZQ1410opbwfuB9gSVlmGC5BTcrJ1Xz8nNCMl7Icjv/x/HMZzEJUHKy6RfVm3vWi8i2ULDX8JnImuTGj/Pmqo3x+20y++PpMvrOwgXWzW81m5tTi9UDtAZVQNjqskshKr5u0shIXwsGuKD6ztZgRv4VHVleyPD08Fk8TCoKU8sqzvSeEaBNCZEopW4QQmUD7WcZoGvu3VgixFVgEjCsImknC2wsxheBMCs148XNM88d3wThcKjdh7yYo3658CouvMsTp+H4kuXw8vraCf3uzkJ/sz6Wu38ldS+tNew49aYyOqCJzNfuUKKQXqDpDyVlGW3YaGxoS+NobM0hy+nh8jbGlKM6XYOMGnwP+Cfjp2L/vqWswFnk0JKX0CCFSgBXAz4KcV3O+eHtV7aJQEZWtspUDo2BxhG7cqcZqgyXXqJLGh7fDQDdccsOUJypNhMsq+fWKWvJjPdx9OIuGQSd3X1YzPcJSR4ageg/Uvq36E2cWQekySBzv4MI4pIR7j2TwX/tzWZA8wO9WVpHmNkfC2bkSrCD8FHhaCPFZ4DjwMQAhxBLgDinl54DZwH1CiLGMKH4qpSwPcl7N+SKEciiHbDwLxM+FnkPm67d8vggBJcuUKOzaAK88oaJTUnONtuw0LAK+saCJ/BgPd+7K58YNZTywqoqZ8cauQCWS9t4RhjxebBYLqfEuXPYQ5KgM9UPVblV91O+DnFlQcrHpGiCBiiS6c1c+f65N5UP5nfz84mOmDCudCCFNHCmypCxT7n7qn402I/wJeFXvgyV3hzb0rn071DwA0fmhG9No+jqVX2GgB8qWK6Ew4dHY7o4Y7nhtJh6/4NcralmdNfV5FRJJZXMvR5q66R9+tw6P1SLIS4lhUWEK0c4LOH4b6IbK3SqXAFSdoZKlqk2lCWkdsnPHazPZ3xnDV+c18ZW5zcb9yvhHEIv/a4+UcsmFfDxMUk01QTHao3omhzoOO6YQVSc4gohLhtW3w/4tUP4GnGiCpdeAM8poy05jSeoAz36gnM9vm8lnthbzbwua+EJZy5SFNEokO6raqWpRQhTjspMc68Lj9dPWM8Sx9n5ae4a5ekEOce5zPFLsaVcF5xqrVL/swnkwa4nput+dyu6OGL7wWhGDPiv3Xl7NNblhlrB5BloQpgP+IUhcFPpx3RlgiwA/wpnYHcqvkJKtwhk3P6qczZkzjLbsNLKjVQTSt3cU8PMDOew7Ec0vlh+bEr9CTWsfVS292CyCS2alk58ai2VsWTww4uWNylbaeoZ5tbyF6y/KQ5xt4SClygWp3A3tx1XBuVlLYOaioJrVTzZSwmNVqdy1N4/sqFEeX1MRVs7js6EFYboQOzP0Y0aSH+FMhIDC+ZCUBbs3wJvPqmbq81YpwTAJUbYAv7q0lkUpA/x4by43bijjnsurJ7XjlkRytKkHgKUz0yhMO30FH+Oys3pONs/trqNn0ENr9zCZiWfssAJjdYaqdqudgTMK5lymCs6ZrEz5mQx4LXxnZwHPH0/miswefrWiNmKc+7pjWqTjH1aZyc7UyRk/YYGaI1I5mcQ2a8lYa8VHVelkEyEEfLqknaeurGDIb+HDG8t4vCp10hLJewdH6R704LJbKUwbPxrLbrVQnKEy4o+19737htej8gdeehB2rVfJZYuuVC0qS5aaXgwqetzc8FIZL9Qn8Y0FjTx4RWQVINQ7hEhntFt1RpssL1fsDCLOj3AmVhvMvRwyZqiche3PqJII81eZ6lhjSeoA6689zNfemMGduwp4oy2OnyyrC3l55WGvGi8+2oHVcvY1ZVKMurmPeP3KSV+zH44fVqGjKdmwcLX6nprQaX8mUsJj1an8aG8ecXYfj6+pCJtks/NBC0KkI73KoTxZuNIj048wHinZsPbjqpxy5ViTlbJLlfPToMJpZ5Li8vHw6kruO5LBfx/I4UBnNL9cXsvStIGQzWG3qhv4sMePRJ7VPzDk8ZI12s6C5iaobFZHjDmzlH/AZDkE70fXiI1v7ihgc1MiKzN7+e9LasMuv+Bc0YIQyUgJEoiZRGeosED8POg5GHl+hPGw2lQ4am4J7H8ZDryiyijMW6kyZ02w2rUI+EJZK8tS+/namzP42OZS1s1u5V/nN+G0Bn+OlBjjwuWw0jc8SnvvMOnxZ/gHPMPI+sNkH9nLLN8gPrtbZRQXzjdlH4r345XmeL61o4Aej43vLa7n0yVtpi5OFyxaECIZ34DKKJ7sekOJC6Bz5+TOYTZik+Cym6GlFg5tgzf+phLZypZDsjnai16UOsj6aw/z47253Hckk1db4vnF8lrmBOlwtgpBcUY8B+u7eLOyjSvn5RDjtKloobpDyOZqRMDPoC2RtxNKWLryUtOVA5mI3lErP9qby59qU5kVP8QfrqikbBId9WZBC0Ik4+2G9JWTP09MoSlWxlOOEKobW0aB2iVU7FQltdPyYPZyU9TYibEH+MnFx7kyp4dv7yjghg1zWDe7la/MbQoqk3ZObhJNXYN4e7s4tvUwxd5mXN5BfFYHx6MKKLdl02uPZdXsLGxhJgavNMXznZ0FtI/Y+WJZM1+Z1xySnVU4oAUh0rnQ3snngysdrO7p4UcYD4tVNWsvmDdWhXO3asCTlAnFiyFzpkq0MpC12b1svv4QP96byz3lmWxoSOTHy+q49EIcoyOD2Jsquba3Akt3CxJosadQE1NMvTODgLAS5bRxxcw0cpLD54iodcjOXXvyWN+QRHH8MPetrGZB8qDRZk0pWhAilZMxh1NRVuIdP8Lb08OPcDZsdhWeOmMB1B1UUTU7XlCZtgXzIG+2oUXz4h1+fnZJHTcWdPKdnQXcvqWU6/M6uXNxA5lRXiSSrn4PAx4vViFIiTulJtFQP7TUQHM1dDQCEktcCsxZwUDqTNr7Alg9PoqtFtIT3OQmx7yTqGZ2vAHBo5Vp/OLtbHxS8I0FjXy+tBXHNNkVnIoWhEjFNwDuHLC5p2a+hLnQuWNq5jI7NrvaMRQthJZjqlxz+XZVCiMtD/LLIKPQsJj7FRn9bLzuEPeUZ3LvkUy2NCVwe8ExyiwHGBpW2bZCSlIDvZTaeskZbcfaO1bZPiZRVRrNKVFlPoBYYKE5ywy9L1Iqp/GP9+VS0+dmZWYv/7nkOPmxHqNNMwwtCJGKrxdSL526+aLzp6cf4f0QFuVjyCpScfj15apg264X1XtpeaqUc3o+RAfZ1vQ8cdkkX5vfzEdmnODfXkvnwZoZLLb6+Xj0Ni51VJM01Io94EUCXfZEomZdgju/xLQF5s6Xw91ufrovl9da4ymMHeH+lVVcld0z7X+FtSBEKgF/aMtdT4Q7E4QNAj6w6F+r9xCToHIWZi+HrmZoHjt+2b9FvR8Vp6KUkrMgIR3ikiYvt0FKGO6Hng7imhv4H18jia4+ovDAKLSPJtKWPJeknFR29rto6PMTN+zgQzGJYV/aoKLHzS8PZrGhIYk4u4/vLa7nE8Xt0/J4aDz0X24kctJ/EJU3dXNabBBbDIMNoevKFokIocJSk7NV9nN/pwrX7GhUAnH8sLrOYlVHMjGJSkyi48EVo2r+ON2q25vF+t5dmZSqPITXozqMeYbU+f9QnxKB/i718KvEqlgEfmssntQ83Hkz2OYt44dH5lDbFEVR/zB3zG7G7dlL3/AoTV2D5IaRk/hU3u6M4r4jmayvTyTaFuDLc5v4bGlbRJWdCAVaECIR/zA4k1UNo6kkYQH0lmtBOFeEgLgU9ShapG7mA92q2FtPO/R2QFcLNFaiMgzHwWJVEUyBgHqc7TphUUlhMYkqszo2iWF3As9UDCJsdj5yyQyE1cIqYNOMw6xvSOLuw5l8Y0cRac4sFrqOktTUGlaC4A8oH8Hvjmawoz2OWLuPL5S1sG52KwlOLQTjoQUhEvFOsf/gJNM1HyFUCKHO6GOTVFOYkwT8apU/MqhW/J4htQMI+MHvV/9aLOqmb7GoEtIO19jDrY6jXFHq/VMY7B/BL+pJjnJgt777ntUCH8rv4vq8LrY0xfO/h9LY2LWIV/r8bB3q4mMzTrAkdcC0P+qWITtP16TydE0KTUNOsqI8fHdRPbfM7CDWHjDaPFOjBSESCYxCfNnUzxudqxaoMvCem48mCCxWdWwUkxDSYW1jNRiGR33j1iQSAq7M6aXI0cBfDg5z0DuHvx/P40+1qeTFjPDhgk5uyO+iKG7EcHHoGrHxUmMC6+uT2N4WR0AKLs/o5d8XN3B1Tg92i/YRnAtBCYIQ4qPAf6D6Ji+TUu4+y3XXAL8CrMADUsqfBjOvZgIEU+s/OInVBdF54O2b/HIZmqCJi3IQ7bIzOOKluWuI7KTxK7dWt/WRbh/igyVV5KZ38VJDIs/UJfObQ1n8+lA2+TEjXJndw5rsHhanDOK2Tf4qXEo40uPmtZZ4trXE8VZ7HH4pyI8Z4V/KWvhYUQe5MaOTbkekEewO4RBwE3Df2S4QQliBu4GrgEZglxDiOSlleZBza8bDPwrWKOMSxBLmQ/N6LQhhgEUIZmXEs6/uBDur27lyfg6xrnfLTEgk5Y3dtHYPYbNamJERh9MW4OYZndw8o5O2ITubmhLY3JjAo1Vp/L4iA7slwPykQZamDTAvaZDShGEKYkawBrFhlBK6PTbKe6I40BnNgc5o9p6I4cSIsrU4fph/nt3CdXndzEkcMny3Es4EJQhSyiMA4v1/AsuAaill7di1TwE3AloQJgNvLyTMMe4sP64YmvU5bbhQmpNAQ9cAJ/pGeH53HYVpsaTFRzHq81Pb1kfXgErSWjYzFaft9DDY9CgvHy/u4OPFHQx6LbzVHsvO9lh2dcTywJF0fFKpgNMaoCBmhMyoUTKjR8lwe4m1+4m2+4m2+bEIlS3sl4Jhn4Vuj41Oj40TI3bq+50c63fR5333VlUYO8LlGb2syOjjsow+MqK8U/cNi3CmwoeQDTSc8rwRuPhsFwsh1gHrAPIy9SrzvPEPTW7/g4mIyhsruy21gzkMsFksrJ2bzZsVbdR3DlDd2kd167sdzpx2K0uLUt/TJvNMou0B1mb3sja7F4ARn6C6z83RHjcVPVEc63fSMuTgYFc0nZ6Ji93F2PwkubzkxXi4oaCLwtgRZsUPMz95UIeKTiITCoIQYjMwXjeLO6WUz4baICnl/cD9AEvKMrUn6HwRYmrqF50NR7wKefUPgy1q4us1huOwWVk1J4u+4VFqWvsY9HixWiykxbvJT43BdgGF+Vw2ydykIeYmDQGdp73nDQgGvRYGfVYGvRYkAquQ2CwSpzVAotOHSyeKGcKEgiClvDLIOZqA3FOe54y9pgk1AT8IK7gNLrucMA863tCCEGbEuR0sKkyZ9HnsFkmC069zAUzIVMQG7gKKhRCFQggHcCvw3BTMO/3w9UFMkfGlI+LLIKDPdTWacCMoQRBC/IMQohFYDrwghHhp7PUsIcR6ACmlD/gS8BJwBHhaSnk4OLM14+Lrh/i5Rluh/AjafaDRhB3BRhk9AzwzzuvNwHWnPF8PrA9mLs05ElNgtAXgSp3eDXM0mjBFZypHCicje6JyjLZkrGFOGfSUK3HQaDQTE/DBSAsq3X9siy394EwF2/hJg6FGC0KkEPCoCB/7FBe0Oxvxc6Br3MR1jUZzKlKCpx38I5B5NcTOBHsC2GOh9wg0/g0G2tXiyja5xQW1IEQK3j6VJWyW2P/oArQjQaOZAP8wjLSq3uczPvneHb47A1JXqMVV7UNKPOyT14ZVC0Kk4B82pqDd2YjKBixqyysmqdGLRhPO+AbB0wEzPgtpl529IKTVoaoXOxKh/GeqEdUktcbVJSkjBSEg2gT+g5NY7BBbBN5+oy3RaMyHdwA8J6Dkq5C+8tyqA8fPhuIvKD9DYHIK92lBiATkWO0gd7axdpxJwnyVG6HRaN7F2wfeLpj9dUhaeH6fTVkGBf8IQw3v/t2HEC0IkYBvUImB1Wm0JacTMwPtR9BoTsE3BN4eKPsWJFxgzlDm1ZC2CkaaQ2sbWhAiA2+fiuoxG9F5ahUjdV0ajYaAVzmQi78IcSUXPo4QkHuT+trvCY1tY2hBiASkT5WdNhu2aHBngn/QaEs0GmORARiqh/yPQfKSoSu2wAAADTBJREFU4MdzJkHOTWN5C6FDC0IkIIT5/AcnSZgPo71GW6HRGIeUSgzSVkHWdRNff65krAVHUkgDN7QghDsBr4roMapD2kTElajQU41mujLSCrHFUPjJ0PYatzqVg9nTEbJjWS0I4Y63H2JmmrepfVSu9itrpi+jvWrBVvwFlU8QapIWqXBUT0dIhjPpXURzzvgGLjxaYSpwJqvMSv+I0ZZoNFNLYFSFl876kjrznwyEBXJvVn66EOwStCCEOwJVbtqsCKFKcnu1H0EzjZBS5Qrk3QLxpZM7V2wxuHNVtGGQaEEIeyREGdwhbSLi5+odgmZ6MdIEycsg65rJn0sIyL4evN1BD6UFIZzxe8AarSojmpnofLQjQTNt8HSpqsMzPj11vr2kRWCNCnrhpQUhnPENqO2iWSqcng13hoqI0G01NZGOf0T9Xc76P2Cf3FLVp2F1qt2Ipz2oYbQghDO+AYibbbQVEyMsEFeq/QiayEYGYLhJhZca0bkw9X0qpp4jwfZU/qgQ4rAQIiCEOGv6nRCiTghxUAixXwihu6aECrNVOH0/EhfojGVNZDPcqG7K6auMmd+ZBKmXBzVEsP0QDgE3Afedw7WrpZQngpxPcxoS3CZ3KJ8kugCkyY+2NJoLZaRDJYcWfsLYI9zMq4L6eFCCIKU8AiDMfoYdifg9qp2eWVpmTkRUttrOBvxg0Q1zNBGEbwjkqPIb2KKMtSVmRlAfnyofggQ2CiH2CCHWTdGckY2vPzwcyiex2JW9uj+CJpII+FWBuZnrxroEhjcT7hCEEJuBjHHeulNK+ew5znOZlLJJCJEGbBJCHJVSbjvLfOuA/9/e/cfWWVYBHP+e9q4/1h90XVk3to4x9osytowtyKIBzCaBiSwCgWEIIosERDCACoqJKH8Zon+oJDgjQY0oaDKZbjoBZ4hEUAxCBgIZ49faZYP9pF2729se/zhv1zna9W3v7fvrnk9ys7fd23tPnt7e8z7P8z7nuQlg9ozGkE9fhgrd0DDBC15KbcpSOPyabQXoXNoNFq2beRk0l6CCaQKMmhBUdXWxL6KqHcG/e0VkI3AeMGxCUNUNwAaAFe0zvJD+SESgri3uKMamfm56ejTOjaan01Yht12Rmff1hA8ZiUidiDQMHgMXY5PRbrxU7ZGWCeVBdbNt8HACtv5zLlJH90FVg212UzEp7mhKptjbTj8rIruAlcBmEdkafP80EdkSnNYK/F1EXgL+CWxW1T8X87plbyAPkxrtkSaVNVB/uq2fcC6tCt0w0AsL74CqlNzUEVKxdxltBDYO8/1OYE1wvBNYWszruBMUPrSFXmnspjYthY4/pC+ZOQfBNph7YNFd6RuyDcFXKqdRobu4PVnj1LgAGzdyLmW0P9gGcx00Z/Ma1xNCGonYxjNpVHf60ByIc2mhCt3vwIxL4LRL445mwnhCSJvBD9Okl7weSa7OklmhdPvAupiUS2JXhSPvwKkft95BGodqQyq2dIWL2kDediDLNcQdyfg1L4OOP/o8QtqoQv6AJXORobvFpAIIvq6sgaqpUJGRjxZV6HkPmpZYOeuMr7LPyG+tjBS6oGFeuq9SGhfZxLJLj/whyO+zOaCpn7FbiGtnQkWVFS3s67J9ffc9D/tftAuXXL0lh7S+V1WtYF393InbEzlhPCGkTX93MDGbYsfPI6T1w6Jc9B+F3k6ongaL7rTV5if+ziqrbPV5XRs0n2s/c/h16wV++DpU1Frht6g2iymFwVXIjQth4e2Qq407okh4QkijtE4oD8pNtqTQd9iHjZKs0GN1euZ8DqavCr8Aq7IapiyBpnOgayd0bIb9/7b5o+pTk38RMDhn0HQOLLjVhsHKRIpStgPsjs2a4UpLpUzzMt8wJ8n6uuDoHlh4m+3ENZ7VuCLQcCYsuh2W3GfDTEfegvzBkodbMgP90P0WNC+36qVllAzAewjpMlCAykm2EUbaNfh6hMTKH7KJ47O+Ck2LS/Oc9WdA+91waDu8/ah96Fa3xl8u+nj9PdCzG2Z+GtquzM7E+Bh4DyFNCl1Qd0a6xmJH4usRkqnQYyXKz76ndMlgkIgNwyy5H+aut/mw7neSsdd2/oBNis+/GWZfXZbJALyHkC6FruDKOgN8HiF5Bmv7L7jV7mSbKBU5aL0Api6Hzq3QGZQ9q5kR/W2d2g9HOqwm0eJvFb3BTNp5QkiVfisOlxXNy2DXE54QkuBYbf81MPW8aF4zVwezr4DWi+yOpD3bbK6iujWaxJA/CH37YfqnbIgoScNXMfGEkCpiV1FZkZXeThb0dkJTO7RdFf1dQNXNMPd62w+4Ywt88Cz2Xp8+MaWlC902PFQ9Fdq/aXsaOMATQnroAPZHMi3uSEqnbo79qwPZmBdJq77DUDkZ5t0c79h57QyYtx5mrYU9T8Pup0D7INdo6xyKSVSqNuSa32f7kM+9EVrOL4vFZmPhCSEtCt0weVa2JrtytVB/JvS+D1VNcUdTnnTArpbb705Obf+aFjj9Gtua8sDLlhw+fBNQqKyz90qYnoOqTVzn99txTauVn2hZ6YlgBBn6dMm4QpeNuWdN83J493FPCHHp6YDWC+GUs+OO5KNydXDqSnv07oXDb8DBl+Dgdhg4yrH6SWDHDFNbqXa6bXE5ZZntMJj0RXEx84SQFgN5u5rOmrTu65AFhS6orIXZ1yT/g7Jmmj2mfcI+6Hvfh76DQY2lA3a3UEWVXflXTrbeQM00WzXtQvOEkBYiNsaaNZPbQHK26C5Lw2FJp2pX3Qu/YtVz00QqoLbVHq6kfCYvDQYXcNVmoGTFiSpyNlzRl+ByBlnU02m3lzafG3ckLkGKSggi8oCIvCYiL4vIRhEZdiBYRC4RkddFZIeI3FPMa5al/h4rCpbVuirNy23S3EVjIA9o5jd7cWNXbA/hSWCxqi4B3gC+ceIJIlIJPAhcCrQD14pIe5GvW14KXdA4gStH4zaRq2LdR/Xstls7a1rijsQlTFEJQVX/oqqF4MvngFnDnHYesENVd6pqHvgNsLaY1y07/T1Qn+EPzZpWW63c3xt3JNlX6LI5g+mr447EJVApZ/FuBB4b5vszgfeO+3oX8LGRnkREbgJuCr48Kku/s71kEabaIy3AB3FHkQDeDkOKaIsflTSQBPD3xZBx37o3akIQkaeA4WYz71XVJ4Jz7gUKwK/GG8ggVd0AbAie9wVVXVHsc2aBt4XxdhjibTHE22KIiLww3p8dNSGo6kn7liJyA3AZsEp12FrGHcDxW3zNCr7nnHMuQYq9y+gS4OvA5ap6ZITT/gXMF5EzRKQKWAdsKuZ1nXPOlV6xdxn9GGgAnhSR/4jIQwAicpqIbAEIJp2/DGwF/gs8rqqvhHz+DUXGlyXeFsbbYYi3xRBviyHjbgsZfpTHOedcufGVys455wBPCM455wKxJ4TRylqISLWIPBb8//MiMif6KKMRoi3uFJFXg1IhT4tIhvbT/H9hy52IyJUioiKS2VsOw7SFiFwdvDdeEZFHo44xKiH+RmaLyDYReTH4O1kTR5xREJGHRWSviAy7VkvMD4O2ellERi9cpaqxPYBK4E1gLlAFvAS0n3DOl4CHguN1wGNxxhxzW3wSmBwc31LObRGc1wA8g62SXxF33DG+L+YDLwJTgq+nxR13jG2xAbglOG4H3o477glsjwuAc4HtI/z/GuBP2GYR5wPPj/accfcQwpS1WAv8PDj+HbBKJJMVuUZtC1XdpkO3945UKiQLwpY7uR/4HpDlmhdh2uKLwIOqegBAVfdGHGNUwrSFAo3B8SlAZ4TxRUpVnwH2n+SUtcAv1DwHNInISWvox50QhitrMXOkc9RuYT0ETI0kumiFaYvjrceyfxaN2hZB97dNVTdHGVgMwrwvFgALRORZEXkuWB+URWHa4j7gOhHZBWwBbosmtEQa62eKb5CTRiJyHbACuDDuWOIgIhXAD4AbYg4lKXLYsNFFWK/xGRE5R1XLcZOJa4FHVPX7IrIS+KWILFY9ttemO4m4ewhhylocO0dEclg3cF8k0UUrVIkPEVkN3IutDj8aUWxRG60tGoDFwN9E5G1sfHRTRieWw7wvdgGbVLVPVd/CStHPjyi+KIVpi/XA4wCq+g+gBit8V47GXDYo7oQQpqzFJuDzwfFVwF81mDHJmFHbQkSWAT/BkkFWx4lhlLZQ1UOq2qKqc1R1DjafcrmqjruoV4KF+Rv5PdY7QERasCGknVEGGZEwbfEusApARM7CEsL7kUaZHJuA64O7jc4HDqnq7pP9QKxDRqpaEJHBshaVwMOq+oqIfBd4QVU3AT/Dun07sAmUdfFFPHFCtsUDQD3w22Be/V1VvTy2oCdIyLYoCyHbYitwsYi8CvQDX1PVzPWiQ7bFXcBPReQObIL5hoxeQCIiv8YuBFqCOZNvA5MAVPUhbA5lDbADOAJ8YdTnzGhbOeecG6O4h4ycc84lhCcE55xzgCcE55xzAU8IzjnnAE8IzjnnAp4QnHPOAZ4QnHPOBf4HJqH3x6BpMUcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_train, y_train = create_toy_data(sinusoidal, 25, 0.25)\n",
    "x_test = np.linspace(0, 1, 100)\n",
    "y_test = sinusoidal(x_test)\n",
    "\n",
    "feature = GaussianFeature(np.linspace(0, 1, 9), 0.1)\n",
    "X_train = feature.transform(x_train)\n",
    "X_test = feature.transform(x_test)\n",
    "\n",
    "model = BayesianRegression(alpha=1e-3, beta=2.)\n",
    "\n",
    "for begin, end in [[0, 1], [1, 2], [2, 4], [4, 8], [8, 25]]:\n",
    "    model.fit(X_train[begin: end], y_train[begin: end])\n",
    "    y, y_std = model.predict(X_test, return_std=True)\n",
    "    plt.scatter(x_train[:end], y_train[:end], s=100, facecolor=\"none\", edgecolor=\"steelblue\", lw=2)\n",
    "    plt.plot(x_test, y_test)\n",
    "    plt.plot(x_test, y)\n",
    "    plt.fill_between(x_test, y - y_std, y + y_std, color=\"orange\", alpha=0.5)\n",
    "    plt.xlim(0, 1)\n",
    "    plt.ylim(-2, 2)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3.5 The Evidence Approximation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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2O5KpB6xomDov+1gRX23LYmxCqzq3nGqTBhEsmJZEo+hwpry8gh1ZeW5HMnWcFQ1T5326aT9FJerqsq7+1DoumvnTkihVmDhrORnZx92OZOowKxqmzktJy6BVoygGtGvsdhS/6Rofy7wbk8g+VmQTHBq/sqJh6rS8gmKWbMlkTJ+WhITUraapsvq2i2PW5ES+P5TPpDkryD5W5HYkUwdZ0TB12pItmRQUlzI2oX6suT2sSzNevGEwW/bnMHXuSvJsZlxTw6xomDotOS2DZg0iSOrc1O0otWZkjxY8fe1A1u4+ws3zUzleZDPjmppjRcPUWceLSvhs034u6N2S0DreNFXW2ITWPDa+H19vP8htr66msLjU7UimjrCiYeqsL7dmkVdYUmdHTVXlioHtePjyBD7bfIC73rAp1U3NsLmnTJ2VnJZBw6gwzuza3O0orrl+aEeOFZbw8AebiI4I5W9X9avzAwKMf1nRMHVSUUkpH2/cz+heLYkIq98X1DeN6EJuQTFPfvIdDSJCeeiyPnXuJkdTe6xomDpp+fZDZB8rqrdNU2X96vzu5BeWMHPpdqIjwrhvbA8rHKZarGiYOik5bR/R4aGc0z3e7SgBQUS4/6Ke5BUU88KSbcRGhjLjvO5uxzJByIqGqXNKSpVF6fsZ1TOe6IhQt+MEDBHhT+MSOFZYwmMfbSE6IoxpZ3d2O5YJMlY0TJ2z+vvDZOUWBPUKff4SEiL87ep+HCsq4U/vb6RBRCgTkjq4HcsEEVd6CEVkvIiki0ipiCR67W8mIotFJFdEnilzzmAR2SAiW0XkH2INsqYCyRsyiAgN4byeLdyOEpDCQkN4asJARvaI5/63N/Du2r1uRzJBxK1hJWnAlcDSMvuPAw8C95RzzvPAzUB3Zxvrz4AmOKkqi9IzGNG9OQ2jwt2OE7BOLOI0tHNT7n5zna3+Z3zmStFQ1U2q+m05+/NUdRme4vEjEWkNNFLVb1RVgfnA5bWT1gSTDXuz2XvkWJ1Zoc+fosJDmTV5CH3bxjFj4RqWbsl0O5IJAsEygL0tsMfr+R5nX7lEZLqIpIpIamam/SDUJ8lpGYSGCBf0aul2lKAQGxnGvBuT6NoilukLUlmx45DbkUyA81vREJFPRCStnG2cvz7zBFWdqaqJqpoYH29DLusLVSUlLYPhXZrRpEGE23GCRlxMOAumJdGmcTRT565k/Z4jbkcyAcxvRUNVR6tqQjnbu9V4u71AO6/n7Zx9xvxoy/5cdmTlWdNUNTSPjWThTcNo0iCcSXNWsDnjqNuRTIAKiuYpVd0HHBWRYc6oqUlAdYqPqcNS0jIQgTG9rWmqOlrFRbHwpmFEhYUycdYKtmfmuh3JBCC3htxeISJ7gOHAByKyyOvYTuAJYIqI7BGR3s6h24BZwFZgG5Bcu6lNoEtO28fgDk1o0SjK7ShBq33TGF65aSiqysRZy9lzON/tSCbAuDV66m1VbaeqkaraUlXHeB3rpKpNVTXWec1GZ3+q07zVVVVnOKOojAFgZ1YemzNybK6pGtCtRSzzpyWRW1DM9bOWc+Do8apPMvVGUDRPGVOVFOc+AysaNaNPmzjmTk0iK6eA62ct51BeoduRTIDwqWiISLSI9PB3GGOqKzktg75t42jXJMbtKHXGoA5NmDV5CN8fyueG2cvJPlbkdiQTAKosGiJyKbAWSHGeDxCR9/wdzBhf/XDkGOt2H7GrDD8Y3rUZL9wwmC37c5g6dyV5BcVuRzIu8+VK4yEgCTgCoKprAZsa0wSMRU7T1EVWNPxiVI8W/GPCQNZ8f5ib56dyvKjE7UjGRb4UjSJVzS6zzzqhTcBITsvgjJaxdImPdTtKnXVR39Y8Nr4/X207yO2vrqaopNTtSMYlvhSNdBG5DggVke4i8jTwlZ9zGeOTzJwCVu48xNiE1m5HqfOuHNSOhy9P4NPNB7jzjbWUlNrfjvWRL0XjDqAPUAAsBLKBO/0ZyhhffbxxP6ow1tbOqBUTh3Xkdz/ryQfr93Hfv9ZTaoWj3qlyESZVzQcecDZjAkpy2j46NouhV+uGbkepN6af05W8ghKe+vQ7GkSE8tBlfWy98XrEl9FTH4tIY6/nTbzv4DbGLdn5RXy97SBjE1rZL61adufo7tw8ojPzvt7Fo4tOWuXA1GG+LPfaXFV/nPZSVQ+LiC2JZlz3yab9FJeqNU25QET43c96kV9YwnOfb6NBZBi3j+rmdixTC3wpGqUi0kFVvwcQkY7Y6CkTAFLSM2gdF0X/do2rfrGpcSLCn8YlkF9YwqOLviU6PJSpZ9to/LrOl6LxALBMRJYAAowApvs1lTFVyCsoZumWTK5N6kBIiDVNuSUkRHj06n7kFxbzx/c3EhMRyoSkDm7HMn5UZZ+GqqYAg4A3gNeBwapqfRrGVYu/PUBBcandBR4AwkJD+Me1Azn3jHjuf3sD7661pW7qMl8nLIwEDgFHgd4ico7/IhlTtZS0DJo1iGBIp6ZuRzFAZFgoL0wcTFKnptz95jo+cu7SN3WPL6On/gp8iaeZ6l5nu8fPuYyp0PGiEhZvPsCFfVoSak1TASM6IpTZU4aQ0DaOGQvX8MV3mW5HMn7gy5XG5UAPVb1YVS91tsv8HcyYinzxXRZ5hSV2F3gAio0MY96NQ+gS34Cb56eyYschtyOZGuZL0dgOhPs7iDG+SknLoFFUGMO7NHM7iilH45gIFkwbSpvG0Uydu5L1e45UfZIJGr4UjXxgrYi8KCL/OLH5O5gx5SkqKeWTTfsZ3aslEWG2hligim8Yyas3DaVxTDiT5qzg24wctyOZGuLLT917wJ/wTFK4ymszptZ9s/0g2ceKbNRUEGgdF83Cm4YRGRbC9bOWsyMrz+1Ipgb4MuR2HvAm8I2qzjux+T+aMSdLTssgJiKUc86IdzuK8UGHZjG8etNQSlW5/qVv2HM43+1I5jTZyn0maJSUKh+lZzCqRwuiwkPdjmN81K1FQxZMSyK3oJjrZy3nwNHjbkcyp6G6K/d18WMmY8q1atdhsnILrWkqCPVpE8fcqUlk5hRw/azlHMordDuSqabqrtxny3aZWpecto+IsBBG9bT5MoPRoA5NmD15CN8fymfSnOUcPV7kdiRTDbZynwkKqsqitAzO6d6c2EhfpkwzgWh412a8MHEw32bkcOPLK8kvLHY7kjlFp7py32t4phKxlftMrVq/J5sfso/bDX11wKieLXhqwkDWfH+Ym+en2nrjQcaX0VP5qvqAqg5R1UTn8Wn1ZInIeBFJF5FSEUn02t9MRBaLSK6IPFPmnM9F5FsRWets1kZRjySnZRAWIozuZf/Z64Kf9W3NX6/qx5dbD/LX5M1uxzGnoMLrfBH5D5Wsm3GaU4mkAVcCL5bZfxx4EEhwtrKuV9XU0/hcE4RUlZS0fQzv2ozGMRFuxzE1ZHxie9L2ZjNr2Q4SOzWxq8ggUdmVxmPA48AO4BjwkrPlAttO50NVdZOqnrRGpKrmqeoyPMXDGAC+3Z/DzoP5jLEV+uqc313ci/7tG3PvW+vt5r8gUWHRUNUlqroEOEtVf66q/3G26/AsxOSGl52mqQelkkWhRWS6iKSKSGpmps20GeySN2QgAhf2ael2FFPDIsNCefa6gYSECL94ZRXHi0rcjmSq4EtHeAMR+fG+DBHpDDSo6iQR+URE0srZxlUz6/Wq2hdPwRoB3FDRC1V1ptP/khgfb3cOB7tF6RkM6diUFg2j3I5i/KBdkxie/PkANmfk8Id3092OY6rgy9jFu4DPRWQ7nuVeOwK3VHWSqo4+zWxl32+v8zVHRBbiueFwfk1+hgk8O7Ly2JyRw4OX9HY7ivGjUT1bMGNUN55ZvJXBnZpwTWJ7tyOZClRZNFQ1RUS6Az2dXZtVtcC/sX5KRMKAxqqaJSLhwCXAJ7WZwbgjJc2zApzdBV733XXBGaz+/jAPvpNG37Zx9GrdyO1IphwVNk+JyHnO1yuBi4Guznaxs6/aROQKEdkDDAc+EJFFXsd2Ak8AU0Rkj4j0xrPc7CIRWY9nHqy9eDrlTR2XkraP/u3iaNs42u0oxs9CQ4SnJgwkLjqc215dTY7dMR6QKrvSOBf4DLi0nGMK/Lu6H6qqbwNvV3CsUwWnDa7u55ngtPfIMdbtyeY3Y3u4HcXUkviGkTx97UCum7Wc+/61nmevG0QlY16MCyosGqr6B+fhTapqQxpMrVt0omnKhtrWK0O7NOM3Y3rwf8mbefnLnUw9u7PbkYwXX0ZP7RCRmSJyfmXDXI2paSlpGfRo2ZAu8bFuRzG1bPo5Xbigd0v+8uEmVu067HYc48WXotETT6fz7XgKyDMicrZ/Y5n67kDOcVbuOmQd4PWUiPDY+P60bhzFjIWrbSr1AOLr3FNvquqVwECgEbDE78lMvfbxxv2owkV9rWjUV3HR4Tx//WAO5hXyq9fXUFJa4axGphb5cqWBiJwrIs/hWRs8CrjGr6lMvZeSlkGnZjH0aNnQ7SjGRQlt43jo0j588V0Wz3y21e04Bh/u03CGwK7Bs074vapqE8QYvzqSX8jX2w5y04guNnLGcG1Se1buPMSTn25hUMfGjOhuszy4yZcrjX6qeoWqvmYFw9SGTzYdoLhUucj6Mwye/o0/X5FA9xax/Or1tezLPuZ2pHrNl6LRSkQ+FZE0ABHpJyK/93MuU4+lpO2jTVwU/drFuR3FBIiYiDCeu34wx4tKmLFwjS3c5CJfisZLwP1AEYCqrgcm+DOU8Z2q8so3u7jw70tY8M0uioP8hym3oJil32UxJqGVNU2Zn+jWIpZHrurHql2HbeEmF/lSNGJUdUWZfbawbwA4XlTCb/65nt+/k8aR/CIefCeNMU8u5dNN+1ENzpEmizcfoLC41G7oM+W6rH8bJg3vyKxlO0hJ2+d2nHrJl6KRJSJdcVbxE5GrAfuv5bK9R44x/oWveWvVHn55fne+vv98Zt4wGFWYNi+V615aTtrebLdjnrKU9Ayax0aQ2Kmp21FMgHrg4l70bxfHvW+tZ6ct3FTrfCkat+NZlrWniOwF7gRu9WsqU6mvtmZx6dPL2JmVx0uTErn7gjMIDREu7NOKRXedwx/H9eHb/Tlc8vQy7n5jLT8cCY6Ow+NFJSzefIAL+7QiNMSapkz5IsNCefb6QZ6Fm15dbQs31TJfbu7b7qyNEQ/0VNWzVXWX/6OZslSVmUu3MXH2cpo1iOCdGWdxQe+frmYXHhrCpOGd+PzekfxiZFfe37CPUY99zt9SNgf8rKFLt2SSX1hiTVOmSicWbtq076gt3FTLfLq5D35cvzvHn2FMxfIKipnx2hr+8uFmxia04u3bz6JrJXMyNYoK576xPfns1+fys76tee7zbYx89HMWfL0zYEeepKRnEBcdzvCuzdyOYoLAqJ4tuH1UV95I3c1bqbvdjlNv+Fw0jHt2ZOVx5XNfkbxhH7+9qCfPXjeI2EhfFl30/EX2958P4D8zzqZbi1gefDedMU8udabpCJzO8sLiUj7ZuJ/RvVoSHmr/Wxrf3DX6DIZ3acaD76axad9Rt+PUC/bTGeA+3bSfy55ZxoGc48yfOpRbz+1araGofdvF8fr0YcyalAjAzfNTmTDzG9bvOVLTkavl6+0HOXq82CYoNKckLDSEp64dQKMoW7iptlRZNETkynK280WkRW0ErK9KS5UnP9nCtHmpdGgaw3szzubs7s1P6z1FhNG9W7LoznP40+UJbD2Qy2XPfMmdr69hz+H8GkpePSlpGcREhDLiNL9HU/+0aBjF09cO5PtD+fz2XxsC6gq6LvKljWManmVZFzvPR+KZuLCziPxRVRf4KVu9lX2siLvfWMunmw9w5aC2/OWKvkSFh9bY+4eHhnDDsI5cPqANLyzZxqwvdvBhWgZTz+rMbaO60igqvMY+yxclpcrHGzMY1bNFjX6fpv4Y2qUZ947pwSPJm0n8qgk3nmULN/mLL81TYUAvVb1KVa8CeuO5Z2MocJ8/w9VH32bkcPmzX7JkSyZ/HNeHx8f399sv0oZR4dw7pieL7xnJJf1a88IST2f5vK9qt7M8dechsnILba4pc1qmj+jC6F4t+fMHtnCTP/lSNNqr6n6v5wecfYdwphYxNeP99T9wxXNfkltQzN8YOvQAABYNSURBVOvThzFpeKdamUqjTeNonrhmAO/fcTY9WjbkD++lM+bvS/koPaNWLvWT0zKICAthVA9r8TTVFxIiPG4LN/mdL0XjcxF5X0Qmi8hk4D1nXwMgMHpRg1xxSSl/+XATMxauoVfrRrx/x9mu3BGd0DaOhTcPZfbkRERg+oJV/HzmN6zb7b//zKWlyqL0DM7pHk8DH0eEGVORuJhwnrtuMAdzC7nzjbWU2sJNNc7XO8JfBgY42zzgdue+jVH+DFcfHMwtYNKcFcxcup0bhnXktZuH0bJRlGt5RITze3k6yx++PIHtmbmMe/ZLfvnaGnYfqvnO8vV7s9mXfdyapkyN6dsujj9c1pulWzJ5ZrEt3FTTqvzTTlVVRJYBhXj6MlaoDU+oERv2ZHPrK6vIzC3g0av7MT6xvduRfhQWGsLEYR0ZN6ANLy7ZzktfbCclPYMbz+rEbSO7ERddM53lyWn7CAsRRvdqWfWLjfHRdUkdSN15mL9/soVBHZqc9shD81++DLm9BlgBXI1nmdflzqSF5jS8lbqbq174CoB/3XpmQBUMbw2jwrlnTA8+v3ckl/Zrw8yl2xn56GLmfrmDwuLT6yxXVVLSMhjetRlxMbU7YsvUbT9duGkNGdnH3Y5UZ/jSPPUAMERVJ6vqJCAJeNC/sequwuJSfv/OBu7953qGdGrCezPOom8QLDbUOi6ax6/pz39mnE2v1o146D8bGfPkUlLSqt9Zvjkjh10H87kooXUNpzXmxMJNgzhWVMKMhasDdvqcYONL0QhR1QNezw/6eF6FRGS8iKSLSKmIJHrtv0BEVonIBufreV7HBjv7t4rIPyQIV+jZf/Q4E2Z+zSvffM8t53Rh3o1JNIuNdDvWKUloG8erNw3l5SlDCAsRbn1lFde8+DVrvj/1IY7JaRmIcNKki8bUlG4tGvLIVf1I3XWYv6XYwk01wZfhKikisgh4zXn+c+DD0/zcNOBKPFOue8sCLlXVH0QkAVgEtHWOPQ/cDCx3Pn8skHyaOWrNyp2HuO3V1eQVFPPsdYO4uF/w/nUtIozq2YIR3ZvzZuoenvh4C1c89xWX9m/Db8b0oH3TGJ/eZ1FaBkM6NSW+YXAVThNcLuvfhtSdh3jpix0M7tjUpqo5Tb5MjX4vMBPo52wzVfW0bupT1U2q+m05+9eo6g/O03QgWkQiRaQ10EhVv3E64ecDl59Ohtqiqsz7aifXzvyG2Mgw3rn9rKAuGN7CQkO4bmgHPr93JL88rxsfb8zg/MeX8JcPN5GdX/ktPNszc/l2f46NmjK14r8LN61j10FbuOl0+NTMpKr/UtW7ne1tf4dyXAWsVtUCPFcbe7yO7eG/VyAnEZHpIpIqIqmZmZl+jlmx40Ul/PqtdfzhvXTOPSOed24/izNaNnQtj7/ERoZx94U9+PyeUYwb0IaXvtjOuY8tZs6yijvLk9MyABhja2eYWvCThZtesYWbTkeFRUNEckTkaDlbjohUOQexiHwiImnlbON8OLcP8FfgllP7djxUdaaqJqpqYnx8fHXe4rTtPpTPVc9/xdtr9nLX6DN4aVJijQ1TDVSt4qJ4dHx/PrhjBAlt4vjj+xu54O9LSN6w76TO8kXpGfRv35g2jaNdSmvqG88yAf3ZuO8oD71nCzdVV4V9Gqp6Wn8SO6v9nTIRaQe8DUxS1W3O7r1AO6+XtXP2BaQvvsvkjtfWUFKqzJ6cyHk961dHb+82jVgwLYklWzL5y4eb+MWrq0ns2IQHLu7FwA5N2HM4n/V7srlvbE+3o5p65ryeLbl9VFeeXbyNxE5NuXpwu6pPMj8RUPM2iEhj4APgt6r65Yn9qrrPucoZhqcjfBLwtEsxK6SqvLBkO48u2kz3Fg158YbBdGrewO1YrhARRvZowdndmvPPVXt43Oksv7hfa1o7d7xbf4Zxw12jz2DVrsP8/p0NJLRtRM9WjdyOFFTEjZu7ReQKPL/04/HMX7VWVceIyO+B+4HvvF5+oaoecIbmzgWi8YyausOXO9MTExM1NTW1pr+Fk+QWFHPvW+tITsvg4n6t+dtV/WwuJS95BcXMXLqdmUu3c6yohJ6tGpJy5zluxzL11IGc41z8j2XERobx3oyzaFjLywEEAxFZpaqJJ+2v6zOC1EbR2JaZyy0LVrE9M5f7L+rFTSM618rstMFo/9HjzFy6neFdmjHa7s8wLlq+/SDXzVrO2D6teOa6gfYzW0ZFRcP+FD5NH6Vn8Os31xEeFsIr04ZyZjeb46YyLRtF8eAlvd2OYcxPFm4a8lUTptjCTT6xolFNJc5yrE9/tpV+7eJ4fuJg2tpIIGOCyvQRXUjdeYg/f7iJfu0bM6hDE7cjBbzTmg6kvsrOL2LavJU8/dlWxg9ux5u3DLeCYUwQ8izcNICWjaKY8epqDtvCTVWyonGKNu07yqXPLOPLrVk8fHkCf7u6n61rbUwQi4sJ5/nrB5NlCzf5xIrGKXh37V6ueO5LCopLeH36cCYO62idZ8bUAScWblqyJZNnbeGmSlmfhg+KSkp5JHkzs5ftYEinJjx7/SBaNHRvdT1jTM27LqkDK3cc4olPtjDQFm6qkF1pVCErt4CJs5Yze9kOppzZiVdvGmYFw5g6yLNwU1+6xdvCTZWxolGJtbuPcOnTy1i7+whPXNOfhy7rQ0SY/ZMZU1c1iAzj+YmehZvueM0WbiqP/QaswOsrvueaF74mNET41y/O5MpBNkeNMfXBiYWbVu48zKOLTlrBod6zPo1yFJWU8sryXQzt0pR/TBhIkwYRbkcyxtSiy/q3YeWOQ8xcup3BHZvYFP5erGiUIzw0hPlThxIXHU5oiI2OMqY++v0lvVi35wj3vLWOnq0a0rFZ/Zx8tCxrnqpA0wYRVjCMqcciw0J59rpBhIgt3OTNioYxxlSgfdP/Ltz0v/+xhZvAioYxxlTqvJ4tuW1kV15bsZs3Vn7vdhzXWdEwxpgq3H3BGYzo3pzfvZ3GZ5v3ux3HVVY0jDGmCmGhITw/cTC9WzfitldXs2rXYbcjucaKhjHG+CA2MoyXbxxCq0ZRTJ27ku/257gdyRVWNIwxxkfNYyNZMG0oEWEhTJqzgh+OHHM7Uq2zomGMMaegfdMY5t44hNzjxUyes4Ij+fVrDQ4rGsYYc4r6tIlj5qREdh3MZ9q8VI4V1p97OKxoGGNMNQzv2oynJgxg9feHuX1h/Znc0IqGMcZU00V9W/OncQl8tvkA9/97A6p1f9U/m3vKGGNOw8RhHcnKLeDJT74jvmEk943t6XYkv7KiYYwxp+lX53cnM6eA5z/fRvPYSKad3dntSH5jRcMYY06TiPDHcQkcyivkT+9vpFmDCC4f2NbtWH7hSp+GiIwXkXQRKRWRRK/9F4jIKhHZ4Hw9z+vY5yLyrYisdbYWbmQ3xpjyhIYIf//5AIZ1aco9b61j6ZZMtyP5hVsd4WnAlcDSMvuzgEtVtS8wGVhQ5vj1qjrA2Q7UQk5jjPFZVHgoMycl0r1lQ259ZRXrdh9xO1KNc6VoqOomVT1pHUVVXaOqPzhP04FoEYms3XTGGFN9jaLCmXfjEJrFRnDj3JVsy8x1O1KNCuQht1cBq1W1wGvfy07T1IMiUuEKSSIyXURSRSQ1M7NuXiIaYwJXi0ZRLJg6FAEmzV7B/qPH3Y5UY/xWNETkExFJK2cb58O5fYC/Ard47b7eabYa4Ww3VHS+qs5U1URVTYyPjz/db8UYY05Zp+YNmHtjEkfyC5k8ZwXZx4rcjlQj/FY0VHW0qiaUs71b2Xki0g54G5ikqtu83m+v8zUHWAgk+Su7McbUhL7t4njxhkS2ZeZy87zUOrFkbEA1T4lIY+AD4Leq+qXX/jARae48DgcuwdOZbowxAe3s7s154poBrNx1iF++tobiIJ9uxK0ht1eIyB5gOPCBiCxyDs0AugH/U2ZobSSwSETWA2uBvcBLbmQ3xphTdWn/Nvzhkt58tHE/D76bFtTTjbhyc5+qvo2nCars/oeBhys4bbBfQxljjB9NOaszWbmFPLN4K/Gxkdx9YQ+3I1WL3RFujDG15NcXnkFmTgH/+GwrzWIjmXxmJ7cjnTIrGsYYU0tEhD9fkcCh/EIe+k86zWIjuKRfG7djnZKA6gg3xpi6Liw0hKevHUhixybc9cZavtya5XakU2JFwxhjallUeCizJg2hS/NYblmwirS92W5H8pkVDWOMcUFcTDjzpiYRFx3OlJdXsDMrz+1IPrGiYYwxLmkVF8X8aUmUlCqT5qzgQE7gTzdiRcMYY1zUNT6Wl29MIjOngClzVpJzPLCnG7GiYYwxLhvQvjHPTxzElv05TJ+/ioLiwJ1uxIqGMcYEgJE9WvDY+P58vf0gd72xlpLSwLxr3O7TMMaYAHH5wLZk5Rbw8AebaNYgnT+O60Mlq0C4woqGMcYEkJtGdCEzt4AXl2wnvmEkvzy/u9uRfsKKhjHGBJjfju1JVk4hT3y8hWaxEVw/tKPbkX5kRcMYYwKMiPDIVX05nF/Ig++k0axBBGMTWrsdC7COcGOMCUjhoSE8e90g+rdvzC9fX8s32w+6HQmwomGMMQErOiKUOZOH0KFpDDfPS2XjD0fdjmRFwxhjAlmTBhHMn5pEbFQYk19ewe5D+a7msaJhjDEBrk3jaOZPTaKwuJQbZi8nK7fAtSxWNIwxJgh0b9mQOVOGkHH0OFPnriS3oNiVHFY0jDEmSAzu2IRnrxtE+g9H+cUrqygsLq31DFY0jDEmiJzfqyWPXNmXL77L4p631lFay9ON2H0axhgTZMYntudgXiGPJG+maYMI/nBp71qbbsSKhjHGBKFbzulCZk4Bs5ftoEWjSG4b2a1WPteKhjHGBCER4YGf9SIrt4C/pXxL89hIrkls7/fPtaJhjDFBKiREePTq/hzOL+L+f2+gaUwEo3u39O9n+vXdjTHG+FVEWAjPXz+IhDaNuH3halJ3HvLr57lWNERkvIiki0ipiCR67U8SkbXOtk5ErvA6NlZEvhWRrSLyW3eSG2NMYGkQGcacKUNo2ziaqXNXsmV/jt8+y80rjTTgSmBpOfsTVXUAMBZ4UUTCRCQUeBa4COgNXCsivWszsDHGBKpmsZHMm5pEVHgok2avYO+RY375HNeKhqpuUtVvy9mfr6onbnWMAk4MQk4CtqrqdlUtBF4HxtVOWmOMCXztm8Ywb2oSeYXFTJq9nMN5hTX+GQHZpyEiQ0UkHdgA3OoUkbbAbq+X7XH2lXf+dBFJFZHUzMxM/wc2xpgA0at1I2ZPHkK3FrFEhtf8r3i/jp4SkU+AVuUcekBV363oPFVdDvQRkV7APBFJPpXPVdWZwEyAxMTEwFyd3Rhj/CSpc1OSOjf1y3v7tWio6ujTPH+TiOQCCcBewHsQcjtnnzHGmFoScM1TItJZRMKcxx2BnsBOYCXQ3TkeAUwA3nMtqDHG1ENuDrm9QkT2AMOBD0RkkXPobGCdiKwF3gZuU9Usp19jBrAI2AS8qarpbmQ3xpj6SlTrdpN/YmKipqamuh3DGGOCioisUtXEsvsDrnnKGGNM4LKiYYwxxmdWNIwxxvjMioYxxhif1fmOcBHJBHZV8/TmQFYNxvGnYMoKwZU3mLJCcOUNpqwQXHlPN2tHVY0vu7POF43TISKp5Y0eCETBlBWCK28wZYXgyhtMWSG48vorqzVPGWOM8ZkVDWOMMT6zolG5mW4HOAXBlBWCK28wZYXgyhtMWSG48volq/VpGGOM8ZldaRhjjPGZFQ1jjDE+s6JRDhEZKyLfishWEfmt23kqIyJzROSAiKS5naUqItJeRBaLyEYRSReRX7mdqTIiEiUiK0RknZP3f93OVBURCRWRNSLyvttZqiIiO0Vkg4isFZGAnlVURBqLyD9FZLOIbBKR4W5nqoiI9HD+TU9sR0Xkzhp7f+vT+CkRCQW2ABfgWVJ2JXCtqm50NVgFROQcIBeYr6oJbuepjIi0Blqr6moRaQisAi4P4H9bARqoaq6IhAPLgF+p6jcuR6uQiNwNJAKNVPUSt/NURkR2AomqGvA3y4nIPOALVZ3lrOcTo6pH3M5VFef32V5gqKpW9ybnn7ArjZMlAVtVdbuqFgKvA+NczlQhVV0KHHI7hy9UdZ+qrnYe5+BZF6Xcdd4DgXrkOk/DnS1g/8oSkXbAxcAst7PUJSISB5wDzAZQ1cJgKBiO84FtNVUwwIpGedoCu72e7yGAf7EFKxHpBAwElrubpHJOc89a4ADwsbN+faB6EvgNUOp2EB8p8JGIrBKR6W6HqURnIBN42Wn6myUiDdwO5aMJwGs1+YZWNEytE5FY4F/Anap61O08lVHVElUdgGdN+iQRCcgmQBG5BDigqqvcznIKzlbVQcBFwO1OU2sgCgMGAc+r6kAgDwjovk4ApxntMuCtmnxfKxon2wu093reztlnaoDTN/Av4FVV/bfbeXzlNEcsBsa6naUCZwGXOf0ErwPnicgr7kaqnKrudb4ewLO0c5K7iSq0B9jjdZX5TzxFJNBdBKxW1f01+aZWNE62EuguIp2dSj0BeM/lTHWC07E8G9ikqk+4nacqIhIvIo2dx9F4BkdsdjdV+VT1flVtp6qd8Pw/+5mqTnQ5VoVEpIEzGAKnqedCICBHAKpqBrBbRHo4u84HAnLwRhnXUsNNU+C57DJeVLVYRGYAi4BQYI6qprscq0Ii8howEmguInuAP6jqbHdTVegs4AZgg9NPAPA7Vf3QxUyVaQ3Mc0aghABvqmrAD2UNEi2Btz1/RxAGLFTVFHcjVeoO4FXnD8ntwI0u56mUU4gvAG6p8fe2IbfGGGN8Zc1TxhhjfGZFwxhjjM+saBhjjPGZFQ1jjDE+s6JhjDHGZ1Y0jKkBIvKQiNzjdg5j/M2KhjEBQkTsvikT8KxoGFNNIvKAiGwRkWVAD2dfVxFJcSbh+0JEenrt/8ZZP+JhEcl19o90XvcesNGZIPFREVkpIutF5Bavz7vXa3/Ar+1h6ib7y8aYahCRwXim6xiA5+doNZ71QWYCt6rqdyIyFHgOOA94CnhKVV8TkVvLvN0gIEFVdzizvWar6hARiQS+FJGPgO7OlgQI8J6InONMjW9MrbGiYUz1jADeVtV8AOdKIQo4E3jLmR4DINL5Ohy43Hm8EHjM671WqOoO5/GFQD8Rudp5HoenWFzobGuc/bHOfisaplZZ0TCm5oQAR5yp1E9FntdjAe5Q1UXeLxCRMcD/qeqLp5nRmNNifRrGVM9S4HIRiXZma70UyAd2iMh48MzqKyL9ndd/A1zlPJ5QyfsuAn7hTCGPiJzhTD63CJjqrEWCiLQVkRY1/l0ZUwUrGsZUg7Ns7RvAOiAZz5T6ANcD00RkHZDOf5cKvhO4W0TWA92A7AreehaeabdXi0ga8CIQpqof4WnW+lpENuBZ06FhjX9jxlTBZrk1phaISAxwTFVVRCYA16pqwK49b0xFrE/DmNoxGHjGWYjqCDDV5TzGVItdaRhjjPGZ9WkYY4zxmRUNY4wxPrOiYYwxxmdWNIwxxvjMioYxxhif/T/frPnOz5p6EQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def cubic(x):\n",
    "    return x * (x - 5) * (x + 5)\n",
    "\n",
    "x_train, y_train = create_toy_data(cubic, 30, 10, [-5, 5])\n",
    "x_test = np.linspace(-5, 5, 100)\n",
    "evidences = []\n",
    "models = []\n",
    "for i in range(8):\n",
    "    feature = PolynomialFeature(degree=i)\n",
    "    X_train = feature.transform(x_train)\n",
    "    model = EmpiricalBayesRegression(alpha=100., beta=100.)\n",
    "    model.fit(X_train, y_train, max_iter=100)\n",
    "    evidences.append(model.log_evidence(X_train, y_train))\n",
    "    models.append(model)\n",
    "\n",
    "degree = np.nanargmax(evidences)\n",
    "regression = models[degree]\n",
    "\n",
    "X_test = PolynomialFeature(degree=int(degree)).transform(x_test)\n",
    "y, y_std = regression.predict(X_test, return_std=True)\n",
    "\n",
    "plt.scatter(x_train, y_train, s=50, facecolor=\"none\", edgecolor=\"steelblue\", label=\"observation\")\n",
    "plt.plot(x_test, cubic(x_test), label=\"x(x-5)(x+5)\")\n",
    "plt.plot(x_test, y, label=\"prediction\")\n",
    "plt.fill_between(x_test, y - y_std, y + y_std, alpha=0.5, label=\"std\", color=\"orange\")\n",
    "plt.legend()\n",
    "plt.show()\n",
    "\n",
    "plt.plot(evidences)\n",
    "plt.title(\"Model evidence\")\n",
    "plt.xlabel(\"degree\")\n",
    "plt.ylabel(\"log evidence\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
